Hi aspurant,
Not all colleges provide admission on the basis of entrance exma. Some give direct admission on basis of 12th score while some consider entrance exam for admission. Som colleges with entrance exams are-
IIM Indore IPM AT 2020-April 30, 2020

IIM Rohtak IPM Aptitude Test 2020-May 1, 2020

Symbiosis SET 2020-May 2, 2020

NMIMS NPAT 2020-May 9 & 10, 2020

DU JAT 2020-June 2 to 9, 2020

UGAT BBA exam is national levek exam whose score is accepted by some listed colleges. It will be held on May 9.For more details regarding UGAT follow this link- UGAT BBA
The following link contains list of colleges accepting UGAT BBA- https://bschool.careers360.com/articles/ugat-bba-participating-institutes/amp

Hope this helps.